Posted by Brianna on Monday, September 26, 2011 at 12:38am.
Let g(x) = 2x2 + bx + c be a quadratic function, defined everywhere, where b and c are constants. If x = 1 marks the location of one of the zeros of this quadratic function, and if the yintercept of this function is at (0, 5), then use this information to name constant b.

college Algebra  Steve, Tuesday, September 27, 2011 at 10:37am
g = 2x^2 + bx + c
g = (x1)(2x + b2) remainder b+c2
In order for 1 to be a root, then x1 must divide g exactly. That is,
b+c2 = 0
Using the yintercept, when x=0, y=5
5 = c
So, b+3 = 0, or b=3
g = 2x^2 3x + 5 = (x1)(2x  5)
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